P. Nguyen

activity

20132023

most citedEnergy equalities for compressible Navier-Stokes equations

36 citations · 83 across the 26 of their papers we have counts for

collaborators

Showing 2014 · math.APShow all

3 papers · 2 filters

math.AP2014

Elliptic equations with nonlinear absorption depending on the solution and its gradient

Moshe Marcus, Phuoc-Tai Nguyen

We study positive solutions of equation (E1) $- Δ u + u^{p} ∣\nabla u ∣^{q} = 0$ ( $0 \leq p$ , $0 \leq q \leq 2$ , $p + q > 1$ ) and (E2) $- Δ u + u^{p} + ∣\nabla u ∣^{q} = 0$ ( $p > 1$ , $1 < q \leq 2$ ) in a smoot…

math.AP2014

Moderate solutions of semilinear elliptic equations with Hardy potential

Moshe Marcus, Phuoc-Tai Nguyen

Let $Ω$ be a bounded smooth domain in $R^{N}$ . We study positive solutions of equation (E) $- L_{μ} u + u^{q} = 0$ in $Ω$ where $L_{μ} = Δ + \frac{μ}{δ ^{2}}$ , $0 < μ$ , $q > 1$ and $δ(x)=\mathrm…

math.AP2014★ 5 cited

Existence, uniqueness and qualitative properties of positive solutions of quasilinear elliptic equations

Phuoc-Tai Nguyen, Hoang-Hung Vo

We study the following quasilinear elliptic equation $- Δ_{p} u + (β Φ (x) - a (x)) u^{p - 1} + b (x) g (u) = 0 in R^{N} (P_{β})$ where $p > 1$ , $Φ\in L^\in…